Colloquium: Dr. Jason Green, Univ. of Massachusetts, Boston
In-Person PHYS 401
Location
Physics : 401
Date & Time
December 7, 2022, 3:30 pm – 4:30 pm
Description
TITLE: Speed limits on dissipative dynamical systems
ABSTRACT: Physical systems powering motion or creating structure in a finite amount of time dissipate energy and produce entropy. How does this tension between dissipation and speed emerge from classical, chaotic dynamics? In this talk, I will give an overview of our recent progress in coupling nonlinear dynamics and statistical physics with a classical density matrix theory [1] and how it has led to speed limits for dynamical systems [2]. The results establish some connections between the geometries of phase space and information and set bounds on dissipation in systems evolving out of equilibrium for a finite amount of time.
[1] Das and Green, "Density matrix formulation of dynamical systems" Phys. Rev. E **2022** 106(5) 054135 https://doi.org/10.1103/PhysRevE.106.054135
ABSTRACT: Physical systems powering motion or creating structure in a finite amount of time dissipate energy and produce entropy. How does this tension between dissipation and speed emerge from classical, chaotic dynamics? In this talk, I will give an overview of our recent progress in coupling nonlinear dynamics and statistical physics with a classical density matrix theory [1] and how it has led to speed limits for dynamical systems [2]. The results establish some connections between the geometries of phase space and information and set bounds on dissipation in systems evolving out of equilibrium for a finite amount of time.
[1] Das and Green, "Density matrix formulation of dynamical systems" Phys. Rev. E **2022** 106(5) 054135 https://doi.org/10.1103/PhysRevE.106.054135
[2] Das and Green, "Speed limits on classical chaos"
https://arxiv.org/abs/2110.06993
